476745972480 has 864 divisors, whose sum is σ = 1794515083200. Its totient is φ = 119828054016.

The previous prime is 476745972401. The next prime is 476745972487. The reversal of 476745972480 is 84279547674.

476745972480 is a `hidden beast` number, since 4 + 7 + 67 + 4 + 5 + 97 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (476745972487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627119214 + ... + 1627119506.

It is an arithmetic number, because the mean of its divisors is an integer number (2076985050).

Almost surely, 2^476745972480 is an apocalyptic number.

476745972480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476745972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897257541600).

476745972480 is an abundant number, since it is smaller than the sum of its proper divisors (1317769110720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

476745972480 is a wasteful number, since it uses less digits than its factorization.

476745972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 476745972480 in words is "four hundred seventy-six billion, seven hundred forty-five million, nine hundred seventy-two thousand, four hundred eighty".